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One of the numbers must be less that 1

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Q: What two numbers can be multiplied so the product is smaller then one of the factors?
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Why any prime numbers and composite number always be a composite number?

If you mean the product, that's by definition. A composite number has smaller factors. If you multiply two positive integers, none of which is 1, together, then it follows that the product has smaller factors - namely, the numbers you multiplied together.


How can you determine whether the LCM of two numbers is the product of the numbers or is less than the product if the numbers?

By finding out whether they have any factors in common. If the only factor they have in common is 1, the LCM will be their product. If they have more factors in common, their LCM will be less than their product.


Your maths teacher whants us to identifled multiples and factors and where you are confused what can you put help?

Factors are smaller numbers which are multiplied to make a larger number: eg 2 and 3 are factors of 6...


When dividing two numbers is the product always smaller than one of the factors?

No. 36 divided by 4 = 9


Why do numbers get smaller when multiplied by a decimal?

It's because decimals are really fractions and all numbers get smaller when you multiply them by fractions.


What does as a product of prime factors mean?

That's asking for the prime factorization. Writing 60 as a product of its prime factors would be 2 x 2 x 3 x 5 = 60.


Do larger numbers have more factors than smaller numbers?

Generally yes, but not in all cases. The largest prime number has over 22 million digits but only two factors whereas 60 has six times as many factors.


Why when multiplying two decimal numbers together you get a smaller number you multiplied?

That is not necessarily the case.2.5*4.3 = 10.75 which is larger than either of the numbers being multiplied.


How do you explain in words how a number is composite?

A composite number is one that can be split up into smaller factors. It can be considered to be the product of two or more prime numbers.


Why does the answer become smaller even though you multiply two franctions together?

Any number multiplied by a fraction yields a smaller product.


Will a product ever be smaller than one of the factors?

You bet. As long as at least one of the factors is a proper fraction. 1/2 x 6 = 3 (product is smaller than one factor) 1/3 x 1/4 = 1/12 (product is smaller than both factors)


When would you get a smaller product when multiplying two rational numbers?

The product of two rational numbers, X and Y, is smaller than either of them if both are between 0 and 1.